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Characterizations of the Normal and the Gamma distributions
Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete, 1973The Normal and the Gamma distribution, properly translated, are characterized by a uniformly minimum variance property of the sample mean. In fact, we answer in particular a question asked by Kagan in 1966. Also an optimality property of the sample variance is proved to characterize the Normal distribution.
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1980
The general form of the gamma distribution is $$ f(x\left| {\alpha ,\beta } \right.) = \beta ^\alpha x^{\alpha - 1} e^{ - \beta x} /\Gamma (x){\text{ }}\:x \geqslant 0 $$ The parameter α is a shape parameter and s a scale parameter.
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The general form of the gamma distribution is $$ f(x\left| {\alpha ,\beta } \right.) = \beta ^\alpha x^{\alpha - 1} e^{ - \beta x} /\Gamma (x){\text{ }}\:x \geqslant 0 $$ The parameter α is a shape parameter and s a scale parameter.
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Characterizations of the Gamma Distributions
Theory of Probability & Its Applications, 1974openaire +2 more sources
The Supernova–Gamma-Ray Burst Connection
Annual Review of Astronomy and Astrophysics, 2006S E Woosley
exaly
Different Origins of Gamma Rhythm and High-Gamma Activity in Macaque Visual Cortex
PLoS Biology, 2011Supratim Ray, John Maunsell
exaly
A survey of the application of gamma processes in maintenance
Reliability Engineering and System Safety, 2009J M van Noortwijk
exaly

